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A note on bideterminants for Schur superalgebras by Frantisek Marko; Alexandr N. Zubkov is a Mathematics article available to read on EtoBox.
What is A note on bideterminants for Schur superalgebras about?
Let S(m|n, r) Z be a Z-form of a Schur superalgebra S(m|n, r) generated by elements ξ i,j . We solve a problem of Muir and describe a Z-form of a simple S(m|n, r)-module D λ,Q over the field Q of rational numbers, under the action of S(m|n, r) Z . This Z-form is the Z-span of modified bideterminants [T l : T i ] defined in this work. We also prove that each [T l : T i ] is a Z-linear combination of modified bideterminants corresponding to (m|n)-semistandard tableaux T i .
Who reads A note on bideterminants for Schur superalgebras?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Frantisek Marko; Alexandr N. Zubkov
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0022-4049)
- Published
- 2011
- Language
- EN
- Field
- Mathematics (Physical Sciences)